Optimal Fuel Balancing Method for Fractionated Spacecraft
This paper investigates theoptimal fuel balancing strategy to equalize the fuel use among the modules of fractionated spacecraft. Firstly, the performance index is established based on the assignment problem model of integer programming, the weight coefficient is calculated to denote the deviation of each modules fuel use from the average. Then, the target formation parameters are described based on the relative orbital elements, which are particularly useful for orbit control purposes and proximity analyses. By propagating the relative motion orbit, the target formation configuration can be computed precisely. By adopting the Gauss perturbation equations, the characteristic velocity matrix is calculated by using the relative orbital elements accordingly. The optimal fuel balancing problem is then transformed into a pure integer programming problem, which is solved by the Hungary algorithm. By minimizing the performance index, the control assignment matrix can be deduced. Finally, a numerical example of formation keeping scenario with 3 modules over 3 years is given to validate the presented method. The simulation results show that the margin percentage of the module which expends the most fuel over the one expends the least is 0.8％, which demonstrates the simplicity and effectiveness of the proposed planner.
fractionated spacecraft fuel balancing relative orbital element assignment problem integer 0-1 programming
Hu Min Zeng Guoqiang Song Junling
Institute of Aerospace and Material Engineering, National University of Defense Technology, Changsha College of Postgraduate, The Academy of Equipment Command & Technology, Beijing 101416, China
国际会议
2010 Asia-Pacific International Symposium on Aerospace Technology(2010 亚太航空航天技术研讨会 APISAT 2010)
西安
英文
1101-1104
2010-09-01（万方平台首次上网日期，不代表论文的发表时间）